The box plots show the weights, in pounds, of the dogs in two different animal shelters.
Weights of Dogs in Shelter A
6
8
10
12
14
16
18
20
22
24
26
28
Weights of Dogs in Shelter B
Which is true of the data in the box plots? Select three choices.

Question:

1) The median weight for shelter A is greater than that for shelter B.

2)The median weight for shelter B is greater than that for shelter A.

3) The data for shelter A are a symmetric data set.

4) The data for shelter B are a symmetric data set.

5) The interquartile range of shelter A is greater than the interquartile range of shelter B.

The correct options are;

1) The median for shelter A is greater than that for shelter B

4) The data for shelter B are a symmetric data set

5)The interquartile range for shelter A is greater than the interquartile range for shelter B

Step-by-step explanation:

Here we have weight of dogs in Shelter A

Min = 8

Max = 30

Lower interquartile = 17

Upper inter quartile = 28

Interquartile range = 28 - 17 = 9

Median = 21

For the dogs in shelter B

Min = 10

Max = 28

Lower interquartile = 16

Upper inter quartile = 20

Interquartile range = 20 - 16 = 4

Median = 18

Therefore, the median for shelter A is greater than that for shelter B

The data for shelter B are a symmetric data set

The interquartile range for shelter A is greater than the interquartile range for shelter B.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32